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双周期Riemann边值问题解法的注记
A remark on the method of solution for doubly periodic Riemann boundary value problem
【摘要】 解析函数的边值问题是复变函数论的一个重要分支 ,许多工程技术中的力学物理问题可转化为此类问题 ,因此它有着广泛的应用价值。路见可教授已研究了双周期 Riemann边值问题 ,其求解的关键是构造所谓的典则函数 ,而且还把一些实际问题归结为双周期 Riemann边值问题。为了使双周期 Riemann边值问题理论更加完备 ,文章主要给出双周期 Riemann边值问题的补充性讨论
【Abstract】 Many problems in engineering can be transformed to the boundary value problem of analytic functions,which is an important branch of the theory of the function of complex variables,so it is significant to study such problems. As for the doubly periodic Riemann boundary value problem,Professor Lu Jianke has made some studies, some practical problems have been considered as such problems by him, and the key to finding the solution is to construct the so-called canonical function. In order to make the theory about the doubly periodic Riemann problem perfect,a supplementary discussion is given in this paper.
【Key words】 doubly periodic Riemann boundary value problem; the generalized degree of freedom; index;
- 【文献出处】 合肥工业大学学报(自然科学版) ,Journal of Hefei University of Technology(Natural Science) , 编辑部邮箱 ,2005年02期
- 【分类号】O175.5
- 【下载频次】56